diff --git a/src/pytorch_lightning/utilities/model_summary.py b/src/pytorch_lightning/utilities/model_summary.py
index 2f246c7a66295..e19cff40a2759 100644
--- a/src/pytorch_lightning/utilities/model_summary.py
+++ b/src/pytorch_lightning/utilities/model_summary.py
@@ -15,7 +15,7 @@
 import contextlib
 import logging
 from collections import OrderedDict
-from typing import Any, Dict, List, Optional, Tuple, Union
+from typing import Any, cast, Dict, List, Optional, Tuple, Union
 
 import numpy as np
 import torch
@@ -120,7 +120,9 @@ def layer_type(self) -> str:
     @property
     def num_parameters(self) -> int:
         """Returns the number of parameters in this module."""
-        return sum(np.prod(p.shape) if not _is_lazy_weight_tensor(p) else 0 for p in self._module.parameters())
+        return sum(
+            cast(int, np.prod(p.shape)) if not _is_lazy_weight_tensor(p) else 0 for p in self._module.parameters()
+        )
 
 
 class ModelSummary: